Question: A manufacturing process involves a force being applied to an mass-spring system. The force follows the function: F(t)=-0.5t + 3t+2+5e-t function. t>= 0 The

A manufacturing process involves a force being applied to an mass-spring system. The force follows the function: F(t)=-0.5t + 3t+2+5e-t function. t>= 0 The mass has a value of 5 kg and the spring has a stiffness of 20 N/m. i. Determine the complete general solution for displacement x(t) including the complementary ii. Determine the exact solution for x(t) when the displacement at t = 0 is 0.5 m, and the initial velocity is zero.

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